PUBLICATIONES MATHEMATICAE-DEBRECEN, cilt.91, ss.349-367, 2017 (SCI-Expanded)
In this paper, we study minimal Lorentzian surfaces with finite type Gauss map in 4-dimensional semi-Riemannian space forms with index of 2. First, we give the complete classification of Lorentzian surfaces in the semi-Euclidean space E-2(4) with pointwise 1-type Gauss map. Then, we study all Lorentzian minimal surfaces in S-2(4) (1) regarding their Gauss map. In particular, we proved that a Lorentzian minimal surface in S-2(4)) has 2-type Gauss map if and only if it has constant Gaussian curvature and non-zero constant normal curvature.